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ntheorem prove_these_axioms_2:
- ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.
+ (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.
∀a2:Univ.
∀b2:Univ.
∀inverse:∀_:Univ.Univ.
∀multiply:∀_:Univ.∀_:Univ.Univ.
-∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (inverse (multiply A (multiply B (multiply (multiply C (inverse C)) (inverse (multiply D (multiply A B))))))) D.eq Univ (multiply (multiply (inverse b2) b2) a2) a2
+∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (inverse (multiply A (multiply B (multiply (multiply C (inverse C)) (inverse (multiply D (multiply A B))))))) D.eq Univ (multiply (multiply (inverse b2) b2) a2) a2)
.
-#Univ.
-#A.
-#B.
-#C.
-#D.
-#a2.
-#b2.
-#inverse.
-#multiply.
-#H0.
-nauto by H0;
+#Univ ##.
+#A ##.
+#B ##.
+#C ##.
+#D ##.
+#a2 ##.
+#b2 ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+nauto by H0 ##;
nqed.
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